21142400202 has 48 divisors (see below), whose sum is σ = 57111941952. Its totient is φ = 5491532160.

The previous prime is 21142400197. The next prime is 21142400203. The reversal of 21142400202 is 20200424112.

21142400202 is a `hidden beast` number, since 21 + 1 + 42 + 400 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21142400203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7625743 + ... + 7628514.

It is an arithmetic number, because the mean of its divisors is an integer number (1189832124).

Almost surely, 2^21142400202 is an apocalyptic number.

21142400202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21142400202 is an abundant number, since it is smaller than the sum of its proper divisors (35969541750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21142400202 is a wasteful number, since it uses less digits than its factorization.

21142400202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15254283 (or 15254280 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21142400202 its reverse (20200424112), we get a palindrome (41342824314).

The spelling of 21142400202 in words is "twenty-one billion, one hundred forty-two million, four hundred thousand, two hundred two".